272580 has 96 divisors (see below), whose sum is σ = 967680. Its totient is φ = 55680.

The previous prime is 272567. The next prime is 272581. The reversal of 272580 is 85272.

272580 = T₁₅₅ + T₁₅₆ + ... + T₁₇₄.

It is a self number, because there is not a number n which added to its sum of digits gives 272580.

It is not an unprimeable number, because it can be changed into a prime (272581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4591 + ... + 4649.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2²⁷²⁵⁸⁰ is an apocalyptic number.

272580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483840).

272580 is an abundant number, since it is smaller than the sum of its proper divisors (695100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272580 is a wasteful number, since it uses less digits than its factorization.

272580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 272580 is about 522.0919459252. The cubic root of 272580 is about 64.8382566353.

The spelling of 272580 in words is "two hundred seventy-two thousand, five hundred eighty".